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Finding the Fourth Proportional to 8,475.64, 12,714.32 and 3,546.84

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Solution

The fourth proportional to 8,475.64, 12,714.32 and 3,546.84 is: 5,320.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,475.64 : 12,714.32 = 3,546.84 : x
  2. Step 2: Convert to fraction form
    8,475.64/12,714.32 = 3,546.84/x
  3. Step 3: Cross multiply
    8,475.64x = 12,714.32 × 3,546.84
  4. Step 4: Simplify right side
    8,475.64x = 45,095,658.75
  5. Step 5: Solve for x
    x = 45,095,658.75/8,475.64
  6. Step 6: Final answer
    x = 5,320.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.